Its individual of course, but in principle its possible. There are some really amazing videos on youtube of men singing in a female voice for show. There seem to be two main parameters in singing, since the melody and such is given: pitch and resonance. Pitch ranges vary individually but a lot of it is about training. Many male voices can go very high in pitch in falsetto and with proper resonance and turning the falsetto into head voice it can go even higher. If resonance is female by training, you can have it.
My voice range before the surgery was A2 to G5 - this meant the extreme notes I could get, I could not sing in those though, but I would have needed sing training to sing anyways, so I imagine I could have used a big part of that as singing voice if I was a singer. G5 is just 3 notes away from the high C, which a lot of women cannot produce.
Surgery actually can often decrease that voice range and also the upper limit, because it does some small damage in any case and you need the best voice use to get into these upper notes.
Plus the main thing is female resonance - if you get female resonance, you can also sing in an alto range (does not have always to be soprano!) and have a great voice for singing Jazz, Folk, Blues or Rock.